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Meson-Baryon Interactions in Unitarized Chiral Perturbation Theory

C. Garcia-Recio·J. Nieves·E. Ruiz Arriola·M. Vicente Vacas
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Abstract

Meson-Baryon Interactions can be successfully described using both Chiral Symmetry and Unitarity. The $s-$wave meson-baryon scattering amplitude is analyzed in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry in the potential. Two body coupled channel unitarity is exactly preserved. The needed two particle irreducible matrix amplitude is taken from lowest order Chiral Perturbation Theory in a relativistic formalism. Off-shell behavior is parameterized in terms of low energy constants. The relation to the heavy baryon limit is discussed. The position of the complex poles in the second Riemann sheet of the scattering amplitude determine masses and widths baryonic resonances of the N(1535), N(1670), $Λ(1405)$ and $Λ(1670)$ resonances which compare well with accepted numbers.

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C. Garcia-Recio, J. Nieves, E. Ruiz Arriola, M. Vicente Vacas. 2002-11-29. Meson-Baryon Interactions in Unitarized Chiral Perturbation Theory. https://doi.org/10.1063/1.1570558

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